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Finding the Fourth Proportional to 384,106.68, 530,066.88 and 214,341.12

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Solution

The fourth proportional to 384,106.68, 530,066.88 and 214,341.12 is: 295,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,106.68 : 530,066.88 = 214,341.12 : x
  2. Step 2: Convert to fraction form
    384,106.68/530,066.88 = 214,341.12/x
  3. Step 3: Cross multiply
    384,106.68x = 530,066.88 × 214,341.12
  4. Step 4: Simplify right side
    384,106.68x = 113,615,128,734.11
  5. Step 5: Solve for x
    x = 113,615,128,734.11/384,106.68
  6. Step 6: Final answer
    x = 295,790.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.